Question

Prove that sum of angles of a triangle 180 by experimental method

Answer 1

Hello Dear!!!!

Here's your answer...

Aim:
To explore the relationship between the interior angles of a triangle by paper cutting and pasting.


Material required:
coloured paper, glue, a pair of scissors, and pencil.


Procedure:


step 1: On a coloured paper, draw any triangle and name its vertices as A, B and C.


Step 2: Label the interior angles as angle ABC, angle BCA and angleCAB.



Step 3: Cut triangle ABC.


Step 5:Cut the three angles.


Step 6: Draw a straight line on a sheet of paper.
 


Step 5: Place the three interior angles angleBAC , angleABC and angleACB on the straight line, adjacent to each other, without leaving any gap. 


Observation: We observe that all the three interior angles of a triangle completely fit on a straight line.


Result: angleABC + angleBCA + angleCAB = 180 degrees.

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